The actual speed of the plane with the wind:
v² = ( 150 + 50 · cos 45°)² + ( 50 · sin 45°)²
v² = ( 150 + 35.355 )² + 35.355²
v² = 34,356.467 + 1,249.976
v = √35,606.452
v = 188.7 mph
Answer:
The Value of X is 5 units
Step-by-step explanation:
Problem 11
Answer: Angle C and angle F
Explanation: Angle C and the 80 degree angle are vertical angles. Vertical angles are always congruent. Angle F is equal to angle C because they are alternate interior angles.
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Problem 12
Answer: 100 degrees
Explanation: Solve the equation E+F = 180, where F = 80 found earlier above. You should get E = 100.
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Problem 13
Answer: 80 degrees
Explanation: This was mentioned earlier in problem 11.
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Problem 14
Answers: complement = 50, supplement = 140
Explanation: Complementary angles always add to 90. Supplementary angles always add to 180. An example of supplementary angles are angles E and F forming a straight line angle.
Answer:
1/2
Step-by-step explanation:
1/4 (4x - 8) + 3x =0
distribute the 1/4
x-2+3x=0
combine like terms
-2+4x=0
move -2 to the other side [by ADDing +2 to each side
4x=2
divide [by 4 on both sides]
x=1/2
Answer:
Step-by-step explanation:
the triangle with 9 as a side is a 45,45, 90 triangle. so there for x and 9 are congruent. Thus. x=9